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Let A be a square matrix of order 3 suc...

Let A be a square matrix of order 3 such that `A=A^(T)=[(10,4,6),(a_(21)+a_(12),6,a_(23)+a_(32)),(a_(31)+a_(13),8,4)]`,where `a_(12), a_(23), a_(31)` are positive roots of the equation `x^(3)-6x^(2)+px-8=0, AA p in R`, then the absolute vlaue of `|A|` is equal to

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